[PDF.12ga] A Tour of Subriemannian Geometries, Their Geodesics and Applications (Mathematical Surveys and Monographs)
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A Tour of Subriemannian Geometries, Their Geodesics and Applications (Mathematical Surveys and Monographs)
Richard Montgomery
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| #2541011 in Books | 2006-01-08 | Original language:English | PDF # 1 | 10.00 x7.00 x.75l,1.08 | File type: PDF | 259 pages||0 of 1 people found the following review helpful.| Five Stars|By Thomas R. Schulte|Excellent book and excellent service!
Subriemannian geometries, also known as Carnot-Caratheodory geometries, can be viewed as limits of Riemannian geometries. They also arise in physical phenomenon involving ""geometric phases"" or holonomy. Very roughly speaking, a subriemannian geometry consists of a manifold endowed with a distribution (meaning a $k$-plane field, or subbundle of the tangent bundle), called horizontal together with an inner product on that distribution. If $k=n$, the dimension of the mani...
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